In the given figure, AB is diameter of a circle with centre O and AT is a tangent at `angleAOQ=58^@`, find `angleATQ`.

Explanation

Let circle with centre O touches side AB and AC at point F and E


In `/_\ABC`

`BF=BD=8 `( tangents on the circle from external point B)

`CD=CE=6 `( tangents on the circle from external point C)

`AF=AE` ( tangents on the circle from external point A)

Let` AF=AE=x `

Here `AB=AF+BF=x+8`

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